Two strings of the same linear density (0.00289kg/m) have different lengths. The first is 61cm long and has a mass of 2.21kg hanging from it to produce the tension in the string. The second is 72cm long and has a mass of 3.35kg hanging from it to produce the tension in the string. If the two strings are played together, what is the frequency of the combined sound you hear? What is the frequency with which the amplitude of this combined sound oscillates?
Properties of sound
A sound wave is a mechanical wave (or mechanical vibration) that transit through media such as gas (air), liquid (water), and solid (wood).
Quality Of Sound
A sound or a sound wave is defined as the energy produced due to the vibrations of particles in a medium. When any medium produces a disturbance or vibrations, it causes a movement in the air particles which produces sound waves. Molecules in the air vibrate about a certain average position and create compressions and rarefactions. This is called pitch which is defined as the frequency of sound. The frequency is defined as the number of oscillations in pressure per second.
Categories of Sound Wave
People perceive sound in different ways, like a medico student takes sound as vibration produced by objects reaching the human eardrum. A physicist perceives sound as vibration produced by an object, which produces disturbances in nearby air molecules that travel further. Both of them describe it as vibration generated by an object, the difference is one talks about how it is received and other deals with how it travels and propagates across various mediums.
Two strings of the same linear density (0.00289kg/m) have different lengths. The first is 61cm long and has a mass of 2.21kg hanging from it to produce the tension in the string. The second is 72cm long and has a mass of 3.35kg hanging from it to produce the tension in the string. If the two strings are played together, what is the frequency of the combined sound you hear? What is the frequency with which the amplitude of this combined sound oscillates?
Please show all work so I know what to do next time
Sound is transmitted via a pressure wave within a material. A harmonic is a frequency at which a string can vibrate; the lowest frequency at which a string can vibrate is one where the wavelength of the wave on the string is twice the length of the string itself. This lowest frequency is called the "fundamental".
The frequency is calculated as .
Here the strings are under tension by means of weights hung from them Tension on the string, in that case, is equal to the weight of the mass . The wave resulting from the superposition of two similar-frequency waves has a frequency that is the average of the two. This wave fluctuates in amplitude, or beats, with a frequency, called the beat frequency.
We can determine the beat frequency by adding two waves together mathematically,which gives the result,
x = 2X cos(π fBt)cos(2π favet), where fB = |f1 − f2| is the beat frequency, and fave is the average of f1 and f2. These results mean that the resultant wave has twice the amplitude and the average frequency of the two superimposed waves, but it also fluctuates in overall amplitude at the beat frequency fB.
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